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Finding the Fourth Proportional to 55,047.80, 82,541.32 and 17,597.46

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Solution

The fourth proportional to 55,047.80, 82,541.32 and 17,597.46 is: 26,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,047.80 : 82,541.32 = 17,597.46 : x
  2. Step 2: Convert to fraction form
    55,047.80/82,541.32 = 17,597.46/x
  3. Step 3: Cross multiply
    55,047.80x = 82,541.32 × 17,597.46
  4. Step 4: Simplify right side
    55,047.80x = 1,452,517,577.05
  5. Step 5: Solve for x
    x = 1,452,517,577.05/55,047.80
  6. Step 6: Final answer
    x = 26,386.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.